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Orlov [11]
3 years ago
8

14/30÷14.00 show all work ​

Mathematics
1 answer:
kati45 [8]3 years ago
5 0

1 Simplify \frac{14}{30}

​30

​

​14

​​  to \frac{7}{15}

​15

​

​7

​​ .

\frac{7}{15}\div 14.00

​15

​

​7

​​ ÷14.00

2 Use this rule: a\div \frac{b}{c}=a\times \frac{c}{b}a÷

​c

​

​b

​​ =a×

​b

​

​c

​​ .

\frac{7}{15}\times \frac{1}{14.00}

​15

​

​7

​​ ×

​14.00

​

​1

​​  

3 Use this rule: \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}

​b

​

​a

​​ ×

​d

​

​c

​​ =

​bd

​

​ac

​​ .

\frac{7\times 1}{15\times 14.00}

​15×14.00

​

​7×1

​​  

4 Simplify 7\times 17×1 to 77.

\frac{7}{15\times 14.00}

​15×14.00

​

​7

​​  

5 Simplify 15\times 14.0015×14.00 to 210210.

\frac{7}{210}

​210

​

​7

​​  

6 Simplify.

1/30

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Answer:

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Step-by-step explanation:

Only the y can be on the left hand side. The square has been completed so all you need do is transfer the 10 to the right and read the x,y values for the vertex.

I have provided a graph to show you that the vertex and my answer are the same (hopefully).

y + 10 = 4(x - 1)^2          Subtract 10 from both sides.

y + 10-10=4(x -1)^2 -10  Combine

y = 4(x - 1)^2 - 10

Now we need to make the square term = 0

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x = 1                              When x = 1 the square term will equal 0.

The vertex should be (1, - 10)

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Step-by-step explanation:


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What is the solution set of the compund inequality x+1<-2x+11<3x+5?
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Answer:

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Step-by-step explanation:

The word "and" tells us that we are looking for all values of x that satisfy BOTH inequalities simultaneously.  

 

3x + 5 < 8     and    2x + 5 ≥ 11

 

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